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Finding the Third Proportional to 1,142,596 and 2,509,356

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Solution

The third proportional to 1,142,596 and 2,509,356 is: 5,511,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,596 : 2,509,356 = 2,509,356 : x
  2. Step 2: Convert to fraction form
    1,142,596/2,509,356 = 2,509,356/x
  3. Step 3: Cross multiply
    1,142,596x = 2,509,356 × 2,509,356
  4. Step 4: Simplify right side
    1,142,596x = 6,296,867,534,736
  5. Step 5: Solve for x
    x = 6,296,867,534,736/1,142,596
  6. Step 6: Final answer
    x = 5,511,018.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.